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Finding the Fourth Proportional to 17,577.86, 24,257.36 and 9,620.06

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Solution

The fourth proportional to 17,577.86, 24,257.36 and 9,620.06 is: 13,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.86 : 24,257.36 = 9,620.06 : x
  2. Step 2: Convert to fraction form
    17,577.86/24,257.36 = 9,620.06/x
  3. Step 3: Cross multiply
    17,577.86x = 24,257.36 × 9,620.06
  4. Step 4: Simplify right side
    17,577.86x = 233,357,161.40
  5. Step 5: Solve for x
    x = 233,357,161.40/17,577.86
  6. Step 6: Final answer
    x = 13,275.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.